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I. 8x² - 2x – 15 = 0

II. 12y² - 17y – 40 = 0

I. 8x² - 78x + 169 = 0

II. 20y² - 117y + 169 = 0

l. p² - 3p - 54 = 0

II. q² - 19q + 90 = 0

I. 10x² - 11x + 3 = 0

II. 42y² - 23y – 10 = 0

I. x² – 3(x + 5) = -11

II. y² – 4(y + 2) = -2y

Solve the quadratic equations and determine the relation between x and y:

Equation 1: x² - 5x + 6 = 0

Equation 2: y² - 7y + 12 = 0

Find the remainder when x⁵ − 3x⁴ + 4x³ − 6x² + 8x − 3 is divided by (x − 2).

I). p² + 17p - 234 = 0

II). q² - 21q + 108 = 0

I. 2x² + 11 x + 15 = 0    

II. 2y² - 19 y  + 44 = 0